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.. . ..




Laboratori Nazionali del Gran Sasso, Italy

- 2008 ( )


() , . , . , . , , . -.


( WMAP , arXiv:astro-ph/0603449v2): = 1 c . m h2 = 0.1277 + 0.0080 - 0.0079 ( h = 0.732, m = 0.24) b h2 = 0.02229 ‘ 0.00073 h = 0.732 + 0.031 - 0.032 ns = 0.958 ‘ 0.016 = 0.089 ‘ 0.030 8 = 0.761 + 0.049 - 0.048 r0.002 < 0.65 (95% CL) . , , - . - . w p / = -0.967 + 0.073 - 0.072 (WMAP+SNLS), = 0.716 ‘ 0.055 (WMAP+HST)



§ WIMPs - - § § - "" "" § § : , "", , - . (DAMA .). LHC . - . ( ) .


(r ) = ((r ) - )/ пп 3 P (k ) (3) (k - k ) P (k ): k = (2 ) D k Transfer function T (k ): Peq (k ) = Pp (k )T 2 (k ) 1 (R ) = 2
2 2 0 kn

k 2 dk P (k )W (k , R )

Peq (k ) , eq (M ) M -(n+3)/6 n = -3 - 6 - ns = 1 eq (M ) 2 § 10
-4

ln eq (M ) ln M

fs ( )

ln

k keq

3/2

k kh

(ns -1)/2 0

- : H MPl3 V 3/2 /V § Running-spectral index dns /dk = 0 § (, 1992) (, , , 1997)




M M M M

min min min min



10-12 M (10-7 - 10 10-4 M (10-5 - 10

-6 -4

)M )M



(Zybin, Vysotsky, Gurevich, (Schwarz, Hofmann, Stocker, (Loeb, Zaldarriaga, (Bertschinger,

1999) 2001) 2005) 2006)



1 re

l

H (t )


,

60 0.024 N = 62 § 106 , m = 1.2 § 10-10 M , z = 350 26 (Diemand, Moore & Stadel, 2005)

3



10 10 dn(M) / dlog M [(h-1Mpc)-3] 10 10 10 10 10 10 10
16

10

10

15

-profile, c=1.6 10
9

14

M = 5.1 10-6 Msolar -profile, c=1.6 M = 1.1 10-6 Msolar M = 1.3 10-6 Msolar

13

(r) / crit.(z=0)

10

8

12

M-1

11

10

7

10

r200

9

10

6


-6 -5 -4 -3 -2 -1 0 1

8

r200 10 r [pc]
-2

10

10

10

10 10 10 -1 M [h Msolar]

10

10

10

5

10

-3

(Diemand, Moore & Stadel, 2005) Rc /R 0.01


-

M

min

= 105 - 108 M



(Aloisio, Blasi & Olinto, 2002)




j

(E )j |E |

. =? Rc /R 1.8 Ѕ 10-5 (Gurevich, Zybin, 1995) Rc /R 0.01 (Diemand, Moore, Stadel, 2005) 3- r int (r ) = п 3 R
r -

,

N

4 r 2 dr 2nt (r ) i
0



2
1/2

PS dM =

c M D (t )

2 eq

2 d eq -c e xp dM 2D (t )2

2 eq

dM

(Press, Shechter, 1974)


E |E | GM 2 /2R T -1 = E /|E | , e -J , J t T
h

tf

M

t1

1 - f 1 t dth T (, h ) t

2 2 1

- dM e - /2 d = dM d M 2 d e 2 f1 ( ) = 2[(1/3) - (1/3, )] , f1 ( ) 0.2-0.3 14 < < 40 3 2 1/3
- 2 /2
2

t0

dt

1

2 F (M , t1 ) e M t1

-J (t ,t1 )

t ( eq )

f1 ( )

d log eq (M ) dM , dM



int

dM dM DM (r ) 0.02(n+3) , ncl (M , R )d ln Md ln R = (M , )d ln M M M (, , , 2003, 2006)
10 10 dn(M) / dlog M [(h Mpc) ]
-3
16 15

10 10 10 10 10 10 10

14

-1

13

12

M-1

11

10

9

8

10

-6

10

-5

10

-4

10 10 10 -1 M [h Msolar]

-3

-2

-1

10

0

10

1

(Diemand, Moore, Stadel, 2005)



" " (Ostriker, Spitzer, Chevalier, 1972): E =
2 4gm (z )2 m A(a) 2 vz ,c

: (Gnedin, Ostriker 1997, 1999), (Gnedin, Hernquist, Ostriker, 1999), (Gnedin, Lee, Ostriker, 1999), (Gnedin, 2003) A(a) - (Weinberg, 1994), (Gnedin, Ostriker 1999) a = d , A(a) = 1 a 1 A(a) 1 a 1 A(a) = (1 + a2 )-3/2 (Gnedin, Ostriker 1999) :
0

(r ) = 4
U (r )

dE

2[E - U (r )]f (E )




1 E = 2



d r (r )(vz - vz ) , E = ~
3 2 l -1 2 = l vrel n +

2 lv

rel

dl E (l ) n

t

: 4 2 P (x , ) = (x ) sin ~
0 1 sin

E (l > l ) |E |
1

dp
0

d cos
(x )

d [- (x )]1/2 F ()e

-E /|E |


1

0.8

1 0.75

halo
0.6

0.5

disk Pr
100

Pr

0.25

total
0.4

0 80 60

104 103
40 20

r, kpc
0.2

102

cl, Gev cm3
100

5

10

15

20

25

30

35

r, kpc

(, , , 2006) : M = 10-6 M = 2. : cl -3 . - M M .



- Ncl = 4 r 2 dr 2nt (r )m 2 ann v i dNcl = ncl (l , M , R )d 3 ldMdR ( )
ann 0

Icl =

v
0



rmax ( )

4

d sin
0

2 r 2 dr r2

M

max

Rma

x

dM
min

dR ncl (l ( , r ), M , R )N
Rmi
n

cl

M


ann

I

hom

=

v
0



rmax ( )

2

d sin
0

dr



2 DM

(l ( , r )) 2 m




=

Icl + Ih Ihom

om

1 + S (xc , )

int п DM ~

: S 5, H 0.3 -3 , ~ int 10-20 -3 , п 0.001 10
2




5

np 1.1
4

log

3

np 1.0

2

1

20

40

60

80

100

r, kpc


(),

3.5

np 1.1
3

2.5

log

2

1.5

np 1.0

1

0.5

0 0 25 50 75 100 125 150 175

, degrees

= 1.8, M

min

= 2 § 10

-8

M , np = 1.0 np = 1.1



2 ~ E = 2gm (z )2 /(v 2 C / sin
1 0.95 0.9

2 z ,c

), v

z ,c

= J sin /(mrc ), E /|E | =
7 6

5

plane of disk

vertical plane

P r,

0.85
4

0.8 0.75

I

3

2

halo

0.7
1

0.65 0 20 40 60 80

, degree

25

50

75

100

125

150

175

, degree

(, , , 2007) : P (r , ), , - r . r = 3, 8.5 20 ( ). 0.04, 0.4 0.9. :


()
. :
0

(r ) = 2

5/2

R


-

- (r ) fcl () d , M = -4

r 2 (r ) dr .

0

M M

d

-0.13Qd exp -1.58Sd 1 T M M

1/2

, Qd =
x
max

2 4 gm , Sd = G i п 2 G 2 vz ,c пi 3

d

2 ~ Tt ||

M M

x

d

d dx dx

min


. Qs =

2 4 Gm , Ss = G i п 2 l 4 3 2 vrel пi x

2 s

1 M

dM dt

s

1 2Tt 2 G

max

2 l dl
0 R x
min

ds n (s )v

rel 2

- (s ) - y /s

M M

s

: nh, (r ) = (h /m )(r /r )3 m = 0.4M , r = 8.5 , h = 1.4 Ѕ 10 2007)
-5

M /3 (Bell et. al,

b = 8M /3 , rb = 1 (Launhardt, Zylka, Mezger, 2002)

nb, (r ) = (b /m ) exp -(r /rb )1.6


: M (t ) R (t ), (t ) M (t )-2 п dM = dt dM dt +
d

dM dt

s

t0 - tG < t < t0 A(a) = 0: І І3 dІ =- - , dt ts td : І(t ) M (t )/Mi = (1 + t /td ) : : І2 (t0 ) = І(t ) = exp(-t /ts ) 2td (2td + ts ) exp(2t0 /ts ) - t
-1/2

І M (t )/M

i

s




1 0.75 0.5

1 0.75 0.5

Pr
0.25 1 0 0.8 0.6 2 3 4
0.8 3 4 1 0 0.25

Pr



r, kpc
0.4 1



0.6 2

r, kpc
0.4 1

- r () xc

( ) xc = 0.1 = 0.05 ().


50
250

40 30
ann
H

IH

200 150 100 50 0

20 10 0 0 25 50 75 100 125 150 175

Icl I

I

0

25

50

, degree

75 100 , degree

125

150

175

: . . : (Icl - IH )/IH .




1014

dlog M , Mpc

3

1012

3 kpc

1010

dn M

8.5 kpc
108 10 8 10 6 10 4

MM

3 8.5 . .


C. Schmid, D. J. Schwarz and P. Widerin, Phys. Rev. D 59, 043517 (1999). D. J. Schwarz and S. Hofmann, Nucl. Phys. Proc. Suppl. 87, 93 (2000). H. S. Zhao , J. Taylor, J. Silk and D. Hooper, arXiv:astro-ph/0502049. A. M. Green, S. Hofmann and D. J. Schwarz, JCAP, 0508, 003 (2005). J. Diemand, M. Kuhlen and P. Madau, Astrophys. J. 649, 1 (2006). A. M. Green and S. P. Goodwin, Mon. Not. Roy. Astron. Soc. 375, 1111 (2007). E. Bertschinger, Phys. Rev. D 74, 063509 (2006). G. W. Angus and H. S. Zhao Mon. Not. Roy. Astron. Soc. 375, 1146 (2007). V. Berezinsky, V. Dokuchaev and Yu. Eroshenko, Phys. Rev. D 68 103003 (2003); Phys. Rev. D 73, 063504 (2006); JCAP 07, 011 (2007); Phys. Rev. D 77, 083519 (2008). C. Giocoli, L. Pieri, G. Tormen, arXiv:0712.1476.